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3 years ago

What is the domain of a sine function?

2 answers:

7 0

Hello there!

The domain of the sine function is [-infinity, +infinity].

I hope this is the answer you were looking for. As always, it is my pleasure to help students like you!

Charra [1.4K]3 years ago

3 0

Answer: The domain of the sine function is (-∞, +∞).

Step-by-step explanation:

The domain of the function y = sin x is all real numbers (the sine is defined for any angle measure), and the range is −1 ≤ y ≤ 1.

So, the domain of the sine function is (-∞, +∞).

You might be interested in

10. An arithmetic sequence has this recursive formula. What is the explicit formula?

Mrrafil [7]

Answer:

$a_{n}=45-3n$

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

$a_{n} =a_{1} +(n-1)d\\$

d is the common difference, can be found by:

$d=a_{n}-a_{n-1}=-3$

Subtituting the $a_{1}$ and $d$

You get:

$a_{n}=42+(-3)(n-1)=45-3n$

Method 2 (Mathematical induction):

Assume it is in form $a_{n}=45-3n$

Base step: $a_{1} =45-3(1)=42$

Inducive hypophesis: $a_{n}=45-3n$

GIven: $a_{n+1} =a_{n}-3$

$a_{n+1}=45-3n-3=45-3(n+1)$

Proved by mathematical induction

$a_{n}=45-3n$

5 0

2 years ago

for what value of k, the line joining 3x-ky+7=0 is perpendicular to the line joining (4 ,3) and ( 5, -3).

Schach [20]

Answer:

k = 18

=========

<h2>Given</h2>

3x - ky + 7 = 0

Passing through the points (4, 3) and (5, - 3)

The value of k, if the lines are perpendicular

<h2>Solution</h2>

We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.

Find the slope of line 1 by converting the equation into slope-intercept from standard form:

<em>standard form is ⇒ ax + by + c = 0, </em>
<em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>

3x - ky + 7 = 0
ky = 3x + 7
y = (3/k)x + 7/k

Its slope is 3/k.

Find the slope of line 2, using the slope formula:

m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6

We have both the slopes now. Find their product:

(3/k)*(- 6) = - 1
- 18/k = - 1
k = 18

So when k is 18, the lines are perpendicular.

4 0

1 year ago

Opposite angles of a parallelogram are congruent. <br> a. True <br> b. False

AlexFokin [52]

Correct answer is true

4 0

2 years ago

Set up a System of Equations and Solve

Bumek [7]

Answer:

The cost of each ice cream cone is $4.50

The cost of each ice cream basket is $3.75

The cost of each donut is $1.50

Step-by-step explanation:

Let

x-----> the cost of the ice cream cone

y----> the cost of the ice cream basket

z---> the cost of the donut

we know that

2x+y=12.75 ------> y=12.75-2x ------> equation A

x+2z=7.50 ------> z=(7.50-x)/2 -----> equation B

x+y+z=9.75 ----> equation C

substitute equation A and equation B in equation C and solve for x

x+(12.75-2x)+((7.50-x)/2)=9.75

Multiply by 2 both sides

2x+25.50-4x+7.50-x=19.50

3x=25.50+7.5-19.50

3x=13.5

x=$4.50

Find the value of y

y=12.75-2(4.50)=$3.75

Find the value of z

z=(7.50-4.50)/2=$1.50

therefore

The cost of each ice cream cone is $4.50

The cost of each ice cream basket is $3.75

The cost of each donut is $1.50

6 0

2 years ago

Translate the sentence into an inequality. Twice the difference of a number and 7 is at most −20 . Use the variable y for the un

3241004551 [841]

If the number is y then the inequality is
twice the difference of y and 7=2(y-7)
at most- 20=less than or equal to
2(y-7)≤-20

5 0

2 years ago